Highest Common Factor of 6143, 8992 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 6143, 8992 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6143, 8992 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 6143, 8992 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 6143, 8992 is 1.

HCF(6143, 8992) = 1

HCF of 6143, 8992 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 6143, 8992 is 1.

Highest Common Factor of 6143,8992 using Euclid's algorithm

Highest Common Factor of 6143,8992 is 1

Step 1: Since 8992 > 6143, we apply the division lemma to 8992 and 6143, to get

8992 = 6143 x 1 + 2849

Step 2: Since the reminder 6143 ≠ 0, we apply division lemma to 2849 and 6143, to get

6143 = 2849 x 2 + 445

Step 3: We consider the new divisor 2849 and the new remainder 445, and apply the division lemma to get

2849 = 445 x 6 + 179

We consider the new divisor 445 and the new remainder 179,and apply the division lemma to get

445 = 179 x 2 + 87

We consider the new divisor 179 and the new remainder 87,and apply the division lemma to get

179 = 87 x 2 + 5

We consider the new divisor 87 and the new remainder 5,and apply the division lemma to get

87 = 5 x 17 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6143 and 8992 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(87,5) = HCF(179,87) = HCF(445,179) = HCF(2849,445) = HCF(6143,2849) = HCF(8992,6143) .

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Frequently Asked Questions on HCF of 6143, 8992 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 6143, 8992?

Answer: HCF of 6143, 8992 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6143, 8992 using Euclid's Algorithm?

Answer: For arbitrary numbers 6143, 8992 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.